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Answer:

[tex]x=3[/tex]

[tex]y=-4[/tex]

Step-by-step explanation:

[tex]4x+5y=-8[/tex] ----------- (1)

[tex]-4x-4y=4[/tex] -----------(2)

Adding equation (1) and (2)

[tex]4x+5y-4x-4y=-8+4[/tex]

[tex]y=-4[/tex]

Substitute y=-4 in equation (1) or (2)

[tex]4x+5(-4)=-8[/tex]

[tex]4x-20=-8\\4x=-8+20\\4x=12\\x=3[/tex]

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